Euclidean operator radius inequalities of d-tuple operators and operator matrices

References

[1] Abu-Omar, A.—Kittaneh, F.: Numerical radius inequalities for n × n operator matrices, Linear Algebra Appl. 468 (2015), 18-26.10.1016/j.laa.2013.09.049Search in Google Scholar

[2] Bhunia, P.—Paul, K.: Numerical radius inequalities of 2 × 2 operator matrices, Adv. Oper. Theory 8(1) (2023), Art. No. 11.10.1007/s43036-022-00237-7Search in Google Scholar

[3] Bhunia, P.—Dragomir, S. S.—Moslehian, M. S.—Paul, K.: Lectures on Numerical Radius Inequalities. Infosys Science Foundation Series in Mathematical Sciences, Springer, Cham, 2022.10.1007/978-3-031-13670-2Search in Google Scholar

[4] Baklouti, H.—Feki, K.: Commuting tuples of normal operators in Hilbert spaces, Complex Anal. Oper. Theory 14(6) (2020), Art. No. 56.10.1007/s11785-020-01013-2Search in Google Scholar

[5] Bernau, S. J.—Smithies, F.: A note on normal operators, Proc. Cambridge Philos. Soc. 59 (1963), 727–729.10.1017/S0305004100003728Search in Google Scholar

[6] Curto, R.—Lee, S. H.—Yoon, J.: Hyponormality and subnormality for powers of commuting pairs of subnormal operators, J. Funct. Anal. 245(2) (2007), 390–412.10.1016/j.jfa.2007.01.002Search in Google Scholar

[7] Chō, M.—Takaguchi, M.: Boundary points of joint numerical ranges, Pacific J. Math. 95(1) (1981), 27–35.10.2140/pjm.1981.95.27Search in Google Scholar

[8] Dash, A. T.: Joint spectra, Studia Math. 45 (1973), 225–237.10.4064/sm-45-3-225-237Search in Google Scholar

[9] Dey, S.—Mal, A.—Paul, K.: Geometric properties of operator spaces endowed with the numerical radius norm, Ann. Funct. Anal. 14(1) (2023), Art No. 19.10.1007/s43034-022-00239-9Search in Google Scholar

[10] Dragomir, S. S.: Upper bounds for the Euclidean operator radius and applications, J. Inequal. Appl. 2008 (2008), Art. ID 472146.10.1155/2008/472146Search in Google Scholar

[11] Dragomir, S. S.: Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces, Linear Algebra Appl. 419 (2006), 256–264.10.1016/j.laa.2006.04.017Search in Google Scholar

[12] Feki, K.—Yamazaki, T.: Joint numerical radius of spherical Aluthge transforms of tuples of Hilbert space operators, Math. Ineq. Appl. 24(2) (2021), 405–420.10.7153/mia-2021-24-28Search in Google Scholar

[13] Hirzallah, O.—Kittaneh, F.—Shebrawi, K.: Numerical radius inequalities for certain 2 × 2 operator matrices, Integr. Equ. Oper. Theory 71 (2011), 129–147.10.1007/s00020-011-1893-0Search in Google Scholar

[14] Hirzallah, O.—Kittaneh, F.—Shebrawi, K.: Numerical radius inequalities for commutators of Hilbert space operators, Numer. Funct. Anal. Optim. 32(7) (2011), 739–749.10.1080/01630563.2011.580875Search in Google Scholar

[15] Halmos, P. R.: A Hilbert Space Problem Book, 2nd ed., Springer-Verlag, New York, 1982.10.1007/978-1-4684-9330-6Search in Google Scholar

[16] Gustafson, K. E.—Rao, D. K. M.: Numerical Range, Springer, New York, 1997.10.1007/978-1-4613-8498-4Search in Google Scholar

[17] Jana, S.—Bhunia, P.—Paul, K.: Euclidean operator radius inequalities of a pair of bounded linear operators and their application, Bull. Braz. Math. Soc. (N.S.) 54(1) (2023), Art. No. 1.10.1007/s00574-022-00320-wSearch in Google Scholar

[18] Moslehian, M. S.—Sattari, M.—Shebrawi, K.: Extensions of Euclidean operator radius inequalities, Math. Scand. 120(1) (2017), 129–144.10.7146/math.scand.a-25509Search in Google Scholar

[19] Popescu, G.: Unitary invariants in multivariable operator theory, Mem. Amer. Math. Soc. 200 (2009), No. 941.10.1090/memo/0941Search in Google Scholar

[20] Pearcy, C.: An elementary proof of the power inequality for the numerical radius, Michigan Math. J. 13 (1966), 289–291.10.1307/mmj/1031732779Search in Google Scholar

[21] Sahoo, S.—Rout, N. C.—Sababheh, M.: Some extended numerical radius inequalities, Linear Multilinear Algebra 69(5) (2021), 907–920.10.1080/03081087.2019.1698510Search in Google Scholar

[22] Sheikhhosseini, A.—Moslehian, M. S.—Shebrawi, K.: Inequalities for generalized Euclidean operator radius via Youngs inequality, J. Math. Anal. Appl. 445 (2017), 1516–1529.10.1016/j.jmaa.2016.03.079Search in Google Scholar

[23] Wu, P. Y.—Gau, H.-L.: Numerical Ranges of Hilbert Space Operators. Encyclopedia of Mathematics and its Applications, Vol. 179, Cambridge University Press, Cambridge, 2021.Search in Google Scholar